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4 papers · 1 filter
Computation of Grobner basis for systematic encoding of generalized quasi-cyclic codes
Vo Tam Van, Hajime Matsui, Seiichi Mita
Generalized quasi-cyclic (GQC) codes form a wide and useful class of linear codes that includes thoroughly quasi-cyclic codes, finite geometry (FG) low density parity check (LDPC)…
Exact spin-cluster ground states in a mixed diamond chain
Ken'ichi Takano, Hidenori Suzuki, Kazuo Hida
The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio of…
Exact degenerate ground states for the F-AF spin chain with bond alternation
Hidenori Suzuki, Ken'ichi Takano
We investigate the - spin chain consisting of spins with magnitude . The nearest-neighbor and the next-nearest-neighbor exchange interactions are ferromagnetic a…
Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
Kazuo Hida, Ken'ichi Takano
A mixed Heisenberg spin chain with frustrated side chains is investigated by numerical and perturbational calculations. A frustration-induced quantum partially polarized ferrimagne…